mpoppers@aecom.UUCP (06/19/84)
After B's first announcement, the possibilities are reduced to a table which begins as follows: SUM SUM OF SQUARES ======= ============== 8 50 9 65 10 50 11 65,85 13 85,125,145 14 130,170 15 125 16 130,200 17 145,185,205 .... .... The only appearances of 50, 65, 85, 125, and 145 as a sum of squares in this table are already displayed. A's first announcement rules out the sums 8, 9, 10, and 15. B's second announcement rules out the 65 from the row of sum 11 and the 125 from the row of sum 13. A's second announcement rules out the sum 11. B's third announcement rules out the 85 from the row of sum 13. A's third rules out the sum 13. B's fourth announcement shows one possible answer to be that the sum is 17 and the sum of squares 145, giving 8 and 9 as the numbers. PART II COMING SOON!!! {[][][][][][][][]} { PERITUS CLAVIS } { MACHINAE VIVIT } {[][][][][][][][]} Until June 30: Michael Poppers @ { XX } | aecom | mpoppers, where XX = spike,rocky2,ihnp4,pegasus,esquire,cucard,philabs After June 30: 143 Bennett Avenue-Apt. 3P; New York, NY 10040-4063